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David's user avatar
David's user avatar
David
  • Member for 10 years, 1 month
  • Last seen more than a month ago
122 votes

Don't see the point of the Fundamental Theorem of Calculus.

103 votes

Meaning of $\frac{x-y}{y}$ versus $\frac{x}{y}-1$

97 votes

Subtraction when second number is bigger than first number

84 votes
Accepted

Are Mersenne prime exponents always odd?

74 votes

A real number $x$ such that $x^n$ and $(x+1)^n$ are rational is itself rational

65 votes
Accepted

Why are integers subset of reals?

53 votes
Accepted

$\ln|x|$ vs.$\ln(x)$? When is the $\ln$ antiderivative marked as an absolute value?

52 votes
Accepted

Geometric mean of reals between 0 and 1

47 votes

How to determine without calculator which is bigger, $\left(\frac{1}{2}\right)^{\frac{1}{3}}$ or $\left(\frac{1}{3}\right)^{\frac{1}{2}}$

43 votes
Accepted

To prove that $ [n/1]+ [n/2]+[n/3]+\dots +[n/n]+[\sqrt{n}]$ is even.

42 votes
Accepted

Proof that the cross product is not associative without using components

37 votes

Matrix with zeros on diagonal and ones in other places is invertible

36 votes

Which definition of "power" is true: Britannica's or Wikipedia's?

32 votes
Accepted

When working proof exercises from a textbook with no solutions manual, how do you know when your proof is sound/acceptable?

31 votes
Accepted

Confusion about Tao's construction of reals

26 votes
Accepted

Why can't we remove the sqrt from rms?

26 votes
Accepted

Visual explanation of the following statement:

25 votes

What are some interesting sole exceptions or counterexamples?

25 votes
Accepted

Can a set be infinite and bounded?

23 votes
Accepted

Show that $A = \{p\in\mathbb{ Q}^+\mid p^2<2\}$ contains no largest number and $B= \{p\in\mathbb {Q}^+\mid p^2>2\}$ contains no smallest number

23 votes

Why are irrational numbers such a big deal?

23 votes
Accepted

How to find $\int_0^\infty \prod_{k=1}^n \frac{\sin \frac{x}{2k-1}}{\frac{x}{2k-1}}\mathrm dx$

22 votes

Is this a valid proof that there are infinitely many natural numbers?

21 votes
Accepted

Sets of Prime and Composite Numbers

21 votes
Accepted

Given two real sequences that go to infinity, is it possible to select two subsequences that grow at the same rate asympotically?

20 votes

What is $\cdots ((((1/2)/(3/4))/((5/6)/(7/8)))/(((9/10)/(11/12))/((13/14)/(15/16))))/\cdots$?

19 votes

How to create circles and or sections of a circle when the centre is inaccessible

19 votes

Vertical bar sign in Discrete mathematics

19 votes

Find the value of $\sin\frac{2\pi}{7}+\sin\frac{4\pi}{7}+\sin\frac{8\pi}{7}$

19 votes
Accepted

Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.

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